Problem Detail: I am generating random DFAs to test a DFA reduction algorithm on them. The algorithm that I’m using right now is as follows: for each state $q$, for each symbol in the alphabet $c$, add $delta (q, c)$ to Read More …
Author: ignougroup
[Solved]: Is an inverse homomorphism always a homomorphism?
Problem Detail: Given a homomorphism $h: Sigma rightarrow Delta^*$ such that e.g. $forall a in Sigma: h(a) = delta$, where $delta in Delta$ (i.e. all symbols from the alphabet $Sigma$ have the same image $delta$), is the inverse homomorphism $h^{-1}$ a Read More …
[Solved]: Create a random graph based on the Degree Distribution and Clustering Coefficient Distribution
Problem Detail: I am currently working with a very large Social Network and I want to recreate this graph with a smaller dimension, using the original Degree Distribution and Clustering Coefficient Distribution. The degree distribution is the relative frequency of vertexes Read More …
[Solved]: About metric TSP instances
Problem Detail: Christofides’ 1.5-approximation considers complete graphs as inputs, and as I understand this is essential. If the input graph is not complete, how can I add new edges with suitable weights such that the resulting complete graph still satisfies the Read More …
[Solved]: Proving correctness of the algorithm for convex polygon minimum cost triangulation
Problem Detail: I have read many solutions for the minimum cost of triangulation problem and intuitively get the idea , however I am struggling to figure out how to prove it formally. I kind of feel that it has to be Read More …
[Solved]: Find least probable path in graph
Problem Detail: I am working on a special case of the longest path problem. For a cyclic directed graph $G=(V, E)$, where the edge-weights are probability values (i.e., $P(_) = w(s, q)$ with $s,q in V$), my aim is to find Read More …
[Solved]: How does variance in task completion time affect makespan?
Problem Detail: Let’s say that we have a large collection of tasks $tau_1, tau_2, …, tau_n$ and a collection of identical (in terms of performance) processors $rho_1, rho_2, …, rho_m$ which operate completely in parallel. For scenarios of interest, we may Read More …
[Solved]: How to deal with questions having two or more asymptotic notations
Problem Detail: The following was asked as part of a homework assignment and I am not asking for the solution to these but rather tips or resources on how to solve this and similar questions, Let $f(n)$ and $g(n)$ be two Read More …
[Solved]: Matrix Multiplication Algorithms for Non-Square Matrices
Problem Detail: I’m interested in learning about some of the algorithms available for multiplying non-square matrices, yet despite exhaustive Googling efforts I have been unable to find any discussions of such algorithms except for a couple of extremely general pieces of Read More …
[Solved]: Why is the CPU Involved During Keyboard Echo?
Problem Detail: I’m currently studying for a computer science exam, and I’ve come across a concept that has me somewhat stumped. When one types a key on the keyboard, an ASCII character is transmitted to the CPU. Upon reception of this Read More …
